Properties

Label 5445.d
Number of curves $1$
Conductor $5445$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 5445.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5445.d1 5445h1 \([1, -1, 1, -12728, 1201456]\) \(-1459161/3125\) \(-488336325778125\) \([]\) \(18480\) \(1.5074\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5445.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5445.d do not have complex multiplication.

Modular form 5445.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - q^{5} + 3 q^{7} + 3 q^{8} + q^{10} - 4 q^{13} - 3 q^{14} - q^{16} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display